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Finding the Fourth Proportional to 138,436.40, 207,643.80 and 54,180.20

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Solution

The fourth proportional to 138,436.40, 207,643.80 and 54,180.20 is: 81,266.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,436.40 : 207,643.80 = 54,180.20 : x
  2. Step 2: Convert to fraction form
    138,436.40/207,643.80 = 54,180.20/x
  3. Step 3: Cross multiply
    138,436.40x = 207,643.80 × 54,180.20
  4. Step 4: Simplify right side
    138,436.40x = 11,250,182,612.76
  5. Step 5: Solve for x
    x = 11,250,182,612.76/138,436.40
  6. Step 6: Final answer
    x = 81,266.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.